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C Mitchell Dayton

Publications and source records attributed to C Mitchell Dayton.

2 recordsLinked to original sources

Information criteria for pairwise comparisons.

A new approach is presented for the interpretation of differences among means and proportions. Post hoc techniques, such as Tukey's honestly significant difference procedure, have interpretive problems related to intransitive decisions and technical issues arising from unequal sample sizes or heterogeneity of variance. These concerns can be avoided by considering ordered subsets of means and by using information criterion to select among competing models. This paired-comparisons information-criterion (PCIC) approach is wholistic in nature and does not depend on interpreting a series of statistical tests. Simulation results suggest that a protected version of the PCIC procedure is desirable to minimize failures to detect the null case. This technique is illustrated for independent means, proportions, and means from repeated measures.

Analysis of Variance↗

Applications and computational strategies for the two-point mixture index of fit.

Although numerous descriptive measures have been proposed for assessing model fit when analysing frequency tables, the two-point mixture index of fit proposed by Rudas, Clogg, and Lindsay possesses features that make this index especially appealing in many applied research settings. In particular, the index has an intuitive interpretation that does not depend upon the specific nature of the model being assessed and is not sensitive to sample size. Also, the index can be applied when models are fitted to virtually any frequency table. This paper summarizes the underlying theory and addresses issues of estimation for goodness-of-fit tests for one-way or multi-way frequency tables as well as for certain latent variable models. In addition, a new approach for estimating a lower confidence bound for the index is presented.

Female↗